Question

The solution of the inequation 5x+3<18 are (where x is a natural number)

Answer 1

Answer:

The given inequality is, 5x−3<7

⇒5x−3+3<7+3

⇒5x<10

⇒55x<510

⇒x<2

(i) The integers less than 2 are .......,−4,−3,−3,−1,0,1.

Thus when x is an integer, the solutions of the given inequality are

all the integral values of x which are less than 2.

(ii) When x is real number the solution is given by x<2,

i.e., all real numbers x which are less than 2.

Thus, the solution set of the given inequality is x∈(−∞,2)